Copenhagen-Jerusalem Combinatorics Seminar-Vladislav Pokidkin: Discriminants of polynomial systems

Date: 
Thu, 02/02/202317:15-18:15
Location: 
Zoom
Zoom Link: https://ucph-ku.zoom.us/j/69937085835

Password: 123456


Title: Discriminantsof polynomial systems



Abstract: The space of all systems of polynomialequations with prescribed Newton polytopes contains the discriminant - the setof all systems with a degenerate root. The study of such discriminants (socalled A-discriminants) was initiated by Gelfand, Kapranov, Zelevinsky andSturmfels in 1990th. We make a review of existing results about the structureof discriminants and provide a conjecture about its number of irreduciblecomponents and their codimensions for tuples of Newton polytopes with positivemixed volume.